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We report infrared studies of AFe$_{2}$As$_{2}$ (A = Ba, Sr), two representative parent compounds of iron-arsenide superconductors, at magnetic fields (B) up to 17.5 T. Optical transitions between Landau levels (LLs) were observed in the…

Both topological crystalline insulators surfaces and graphene host multi-valley massless Dirac fermions which are not pinned to a high-symmetry point of the Brillouin zone. Strain couples to the low-energy electrons as a time-reversal…

Strongly Correlated Electrons · Physics 2016-05-18 Jörn W. F. Venderbos , Liang Fu

We develop a Dirac fermion theory for topological phases in magnetic topological insulator films. The theory is based on exact solutions of the energies and the wave functions for an effective model of the three-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Kai-Zhi Bai , Bo Fu , Shun-Qing Shen

Relativistic massless Dirac fermions can be probed with high-energy physics experiments, but appear also as low-energy quasi-particle excitations in electronic band structures. In condensed matter systems, their massless nature can be…

Strongly Correlated Electrons · Physics 2018-08-15 M. Horio , C. E. Matt , K. Kramer , D. Sutter , A. M. Cook , Y. Sassa , K. Hauser , M. Månsson , N. C. Plumb , M. Shi , O. J. Lipscombe , S. M. Hayden , T. Neupert , J. Chang

A topological concern is addressed in view of the extensively and intensively studied topological phases of condensed matter. In this realm, the phases with topological order cannot be characterized by symmetry alone. Moreover, the relevant…

Mesoscale and Nanoscale Physics · Physics 2019-08-20 C. H. Ho , M. F. Lin

We show how it is possible to trap two-dimensional massless Dirac fermions in spatially inhomogeneous magnetic fields, as long as the formed magnetic quantum dot (or ring) is of a slowly decaying nature. It is found that a modulation of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 C. A. Downing , M. E. Portnoi

Linear magnetoresistance is a hallmark of 3D Weyl metals in the quantum limit. Recently, a pronounced linear magnetoresistance has also been observed in 2D graphene [Xin et al., Nature 616, 270 (2023)]. However, a comprehensive theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Xiao-Bin Qiang , Han-Yi Xu , Ren-Jie Tong , Shuai Li , Zi-Xuan Gao , Peng-Lu Zhao , Hai-Zhou Lu

Quantum critical phenomena may be qualitatively different when massless Dirac fermions are present at criticality. Using our recently-discovered fermion-sign-free Majorana quantum Monte Carlo (MQMC) method introduced by us in Ref. [1], we…

Strongly Correlated Electrons · Physics 2015-08-11 Zi-Xiang Li , Yi-Fan Jiang , Hong Yao

We report on temperature-dependent magnetospectroscopy of two HgTe/CdHgTe quantum wells below and above the critical well thickness $d_c$. Our results, obtained in magnetic fields up to 16 T and temperature range from 2 K to 150 K, clearly…

Dirac fermions, characterized by their linear dispersion and relativistic nature, have emerged as a prominent class of quasiparticles in condensed matter physics. While the Dirac equation, initially developed in the context of high-energy…

Four-component massive and massless Dirac fermions in the presence of long range Coulomb interaction and chemical potential disorder exhibit striking fermionic quantum criticality. For an odd number of flavors of Dirac fermions, the sign of…

Disordered Systems and Neural Networks · Physics 2015-03-17 Pallab Goswami , Sudip Chakravarty

We investigate electronic transport in high mobility (\textgreater 100,000 cm$^2$/V$\cdot$s) trilayer graphene devices on hexagonal boron nitride, which enables the observation of Shubnikov-de Haas oscillations and an unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 Thiti Taychatanapat , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero

For the innovation of spintronic technologies, Dirac materials, in which the low-energy excitation is described as relativistic Dirac fermions, are one of the most promising systems, because of the fascinating magnetotransport associated…

Strongly Correlated Electrons · Physics 2017-03-14 H. Masuda , H. Sakai , M. Tokunaga , Y. Yamasaki , A. Miyake , J. Shiogai , S. Nakamura , S. Awaji , A. Tsukazaki , H. Nakao , Y. Murakami , T. H. Arima , Y. Tokura , S. Ishiwata

We show the existence of massive Dirac fermions in electronic band structures of a few Fe atomic layers with perpendicular magnetization. Based on a tight binding model fitted to ab-initio band structure, we observe four distinct massive…

Materials Science · Physics 2015-09-24 Xiao-Tian Zhang , Baolong Xu , Kohji Nakamura , Ryuichi Shindou

We report on the experimental results of interlayer magnetoresistance in multilayer massless Dirac fermion system $\alpha$-(BEDT-TTF)$_2$I$_3$ under hydrostatic pressure and its interpretation. We succeeded in detecting the zero-mode Landau…

Materials Science · Physics 2009-05-01 N. Tajima , S. Sugawara , R. Kato , Y. Nishio , K. Kajita

The fractal spectrum of magnetic minibands (Hofstadter butterfly), induced by the moir\'e super- lattice of graphene on an hexagonal crystal substrate, is known to exhibit gapped Dirac cones. We show that the gap can be closed by slightly…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 M. Diez , J. P. Dahlhaus , M. Wimmer , C. W. J. Beenakker

Topological semimetals with massless Dirac and Weyl fermions represent the forefront of quantum materials research. In two dimensions (2D), a peculiar class of fermions that are massless in one direction and massive in the perpendicular…

At low energy, electrons in doped graphene sheets behave like massless Dirac fermions with a Fermi velocity which does not depend on carrier density. Here we show that modulating a two-dimensional electron gas with a long-wavelength…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 M. Gibertini , A. Singha , V. Pellegrini , M. Polini , G. Vignale , A. Pinczuk , L. N. Pfeiffer , K. W. West

The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the spectrum, the bound states and…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Christian Wickles , Wolfgang Belzig

We derive a scheme for systematically enumerating the responses of gapped as well as gapless systems of free fermions to electromagnetic and strain fields starting from a common parent theory. Using the fact that position operators in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-29 Daniel Bulmash , Pavan Hosur , Shou-Cheng Zhang , Xiao-Liang Qi